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Finding the Fourth Proportional to 334.78, 461.29 and 311.69

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Solution

The fourth proportional to 334.78, 461.29 and 311.69 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 461.29 = 311.69 : x
  2. Step 2: Convert to fraction form
    334.78/461.29 = 311.69/x
  3. Step 3: Cross multiply
    334.78x = 461.29 × 311.69
  4. Step 4: Simplify right side
    334.78x = 143,779.48
  5. Step 5: Solve for x
    x = 143,779.48/334.78
  6. Step 6: Final answer
    x = 429.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.